The inverse of the matrix $\begin{bmatrix} 2 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & 4 \end{bmatrix}$ is

Question

The inverse of the matrix $\begin{bmatrix} 2 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & 4 \end{bmatrix}$  is

cdquestions Admin · Accepted Answer

The correct option is (A) : $\begin{bmatrix} \frac{1}{2} & 0 & 0 \ 0 & \frac{1}{3} & 0 \ 0 & 0 & \frac{1}{4} \end{bmatrix}$ .

Answer

$\begin{bmatrix} \frac{1}{2} & 0 & 0 \ 0 & \frac{1}{3} & 0 \ 0 & 0 & \frac{1}{4} \end{bmatrix}$

Answer

$\frac{1}{24}\begin{bmatrix} 2 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & 4 \end{bmatrix}$

Answer

$\frac{1}{24}\begin{bmatrix} -2 & 0 & 0 \ 0 & -3 & 0 \ 0 & 0 & -4 \end{bmatrix}$

Answer

$\begin{bmatrix} -\frac{1}{2} & 0 & 0 \ 0 & -\frac{1}{3} & 0 \ 0 & 0 & -\frac{1}{3} \end{bmatrix}$

The inverse of the matrix \(\begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{bmatrix}\) is